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  • Explain solution for RD Sharma Class 12 Chapter 29 Linear Programming Exercise Multiple Choice Question Question 21 maths textbook solution.

Explain solution for RD Sharma Class 12 Chapter 29 Linear Programming Exercise Multiple Choice Question Question 21 maths textbook solution.

Answers (1)

Answer : (a) 60

Hint : Put the given corners point on \text {z = 4x+6y}

Given : Corner points of the feasible region for an LPP are (0,2),(3,0),(6,0),(6,8),(0,5)

Let \text {z = 4x+6y}

Solution :

Let's put the corners on \text {z = 4x+6y}

Corner points Corresponding value of \text {z = 4x+6y}
(0,2) 12 (minimum)
(3,0) 12 (minimum)
(6,0) 24
(6,8) 72 (maximum)
(0,5) 30

According to the question Z_{\max }-z_{\min }

\begin{aligned} &z_{\max }=72 \text { and } z_{\min }=12 \\ \end{aligned}

\begin{aligned} &=z_{\max }-z_{\min } \\ \end{aligned}

\begin{aligned} &=72-12 \\ \end{aligned}

\begin{aligned} &=60 \end{aligned}

So, the correct option is (a)

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